六边形化方：几何作图与面积变换

GeoGebra 命令及参数

1. Mirror(B, A) → E
2. Circle(B, A) → d
3. Circle(A, B) → c
4. Intersect(d, c, 2) → C
5. Mirror(C, A) → G
6. Intersect(d, c, 1) → D
7. Mirror(D, A) → F
8. Polygon(C, B, D, G, E, F) → P, c_1, b, d_1, g, e_1, f
9. Circle(E, h) → k
10. Polygon(B, C, D) → Q, d_2, b_1, c_2
11. Intersect(k, b_1, 1) → I
12. Vector(B, B + (a4 * (F - B))) → u
13. Translate(B, u) → B'
14. Translate(C, u) → C'
15. Translate(D, u) → D'
16. Polygon(B', C', D') → Q', d', b', c'
17. Segment(I, E) → i
18. Segment(B, F) → j
19. Intersect(i, j) → J
20. OrthogonalLine(J, i) → l
21. Intersect(l, f) → K
22. Polygon(C, I, J, K) → R, c_3, i_1, j_1, k_1
23. Vector(I, I + (a2 * (E - I))) → v
24. Translate(C, v) → C'_1
25. Translate(I, v) → I'
26. Translate(J, v) → J'
27. Translate(K, v) → K'
28. Polygon(C'_1, I', J', K') → R', c'_1, i', j', k'
29. OrthogonalLine(K, f) → m
30. Intersect(m, d_1) → L
31. OrthogonalLine(L, i) → n
32. Intersect(n, i) → M
33. Polygon(M, L, G, E) → S, m_1, l_1, g_1, e_2
34. Vector(G, G + (a1 * (F - G))) → w
35. Translate(M, w) → M'
36. Translate(L, w) → L'
37. Translate(G, w) → G'
38. Translate(E, w) → E'
39. Polygon(M', L', G', E') → S', m', l', g', e'
40. Polygon(I, D, L, M) → T, i_2, d_3, l_2, m_2
41. Vector(I, I + (a3 * (H - I))) → u_1
42. Translate(I, u_1) → I'_1
43. Translate(D, u_1) → D'_1
44. Translate(L, u_1) → L'_1
45. Translate(M, u_1) → M'_1
46. Polygon(I'_1, D'_1, L'_1, M'_1) → T', i'_1, d'_1, l'_1, m'_1
47. Polygon(K, J, E, F) → U, k_2, j_2, e_3, f_1
48. Vector(N, O) → z